MTH 264 Introduction to Matrix Algebra - Summer 2023

Listed below are some of the materials I’ve developed for the MTH 264 course I taught at Oregon State University.

Lecture Notes.

  1. LN1A. Vectors in Rn, Vector Operations, Geometric Interpretations
  2. LN1B. Matrices
  3. LN2A. Matrix Equations and Row Operations
  4. LN2B. Gaussian Elimination and Identification of Solutions
  5. LN3A. Linear Transformations
  6. LN3B. Determinants
  7. LN3C. Matrices of Reflection and Projection Transformations, and Properties of Determinants
  8. LN4A. The Eigenvalue Problem
  9. LN4C. Miscellaneous Results. These notes were not discussed in class but were offered as an additional resource.
  10. LN0. Introduction to Logic. These notes were offered as an additional resource. Concepts such as the implication and its converse not being equivalent were briefly covered in class.

Written Homework Assignments

  1. HW1A. On Vectors
  2. HW2A. On Matrix Operations
  3. HW2B. On Matrix Equations and Row Operations
  4. HW3A. On Linear Independence
  5. HW3B. On Matrix Transformations. Solution to Problem 3B is linked here.
  6. HW4A. On Determinants
  7. HW4B. On the Eigenvalue Problem

Review Problems

  1. FER. Practice Problems for the Final Exam
  2. FER.Key. Answer Key for Practice Problems